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olga nikolaevna [1]
3 years ago
7

Evaluate the expression

Mathematics
2 answers:
ohaa [14]3 years ago
7 0

Answer:

  10

Step-by-step explanation:

\dfrac{5\cdot x^3}{x^2}=5x

For x=2, this is ...

  5·2 = 10

Nesterboy [21]3 years ago
5 0

Answer:

10.

Step-by-step explanation:

We have been given an expression \frac{5\cdot x^3}{x^2}. We are asked to evaluate our expression for x=2.

To evaluate our expression, we will substitute x=2 in our given expression.

\frac{5\cdot 2^3}{2^2}

Using exponent rule \frac{a^m}{a^n}=a^{m-n}, we will get:

5\cdot 2^{3-2}

5\cdot 2^{1}

5\cdot 2

10

Therefore, the value of our given expression is 10.

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Which of the following is a rational number? EXPLAIN WHY FOR BRAINLIEST
Romashka-Z-Leto [24]
It’s B because it equals -8 when simplified which is a rational number
7 0
3 years ago
Solve the inequality for x. Show each step of the solution. 10x>8(3x-2)-12
Anettt [7]

Answer:

x < 2

Step-by-step explanation:

Given

10x > 8(3x - 2) - 12 ← distribute parenthesis on right side

10x > 24x - 16 - 12, that is

10x > 24x - 28 ( subtract 24x from both sides )

- 14x > - 28

Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.

x < 2

8 0
3 years ago
I need help with this algebra question
ioda

Answer:

4.58258

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

Input:

2² + x² = 5²

Remember, c² is always the side opposite of the right angle...

4 + x² = 25

21 = x²

x = 4.58258

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-Chetan K

7 0
3 years ago
Read 2 more answers
B is the midpoint of AC. AB= 3(3x-1) and AC=5(2x+2) find X, AB, BC, and AC
VMariaS [17]

Answer:

x = 2

Step-by-step explanation:

AB is given as 3(3x-1) multiply inside the parenthesis with 3

AB = 9x - 3

AC is given as 5(2x+2) multiply inside the parenthesis with 5

AC = 10x + 10

if B is midpoint of AC then AB = BC and AC = AB + BC if we write this equation using the given values

9x - 3 + 9x - 3 = 10x + 10 add like terms

18x - 6 = 10x + 10 transfer like terms to the same side of the equation

18x - 10x = 10 + 6

8x = 16 divide both sides by 8

x = 2 replace x with 2 in given expressions to find the value of each component

4 0
2 years ago
Read 2 more answers
Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans
Valentin [98]

Answer:

1.   2r+1.6b=10

2.  r=5-0.8b

3.  b=6.25-1.25r

Step-by-step explanation:

<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />

1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:

2r

The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:

1.6b

Knowing that she spends $10, you can write the following equation:

2r+1.6b=10

2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":

2r+1.6b=10\\\\2r=10-1.6b\\\\r=\frac{10-1.6b}{2} \\\\r=5-0.8b

3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:

2r+1.6b=10\\\\1.6b=10-2r\\\\b=\frac{10-2r}{1.6}\\\\b=6.25-1.25r

7 0
3 years ago
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